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matrenka [14]
3 years ago
12

At the beginning of summer, Mark has $200 in savings and Ryan has $350. The brothers have mowing jobs set up for the summer. Bec

ause Mark is older, he receives $20 for each mowing job and Ryan receives $15. The brothers’ parents pay for the fuel used to mow, so all of the money the brothers earn goes to savings.
Write two equations, one for Mark and one for Ryan, to represent the money in savings (s) based on the number of mowing jobs (j) Mark and Ryan do.
Determine the number of mowing jobs it takes for Mark to have the same amount in savings as Ryan does. Show your work.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer:

  • 30 jobs

Step-by-step explanation:

<u>Mark</u>

  • Initial amount - $200
  • Earning - $20*j
  • Saving is: S = 20j + 200

<u>Ryan</u>

  • Initial amount - $350
  • Earning - $15*j
  • Saving is: S = 15j + 350

<u>If they get same saving, then the equations will be equal:</u>

  • 20j + 200 = 15j + 350
  • 20j - 15j = 350 - 200
  • 5j = 150
  • j = 150/5
  • j = 30

The answer is 30 mowing jobs

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6 0
3 years ago
Misha deposited $3,725 into a savings account 22 years ago. The account has an interest rate of 2.2% and the balance is currentl
Annette [7]
The compounding equation is A=P(1+ \frac{r}{n}) ^{nt}. So
 
6012.37 = 3725(1+ \frac{0.022}{n}) ^{22n}    Divide by 3725

1.6141= (1+ \frac{0.022}{n}) ^{22n}

Daily      = (1+ \frac{0.022}{365}) ^{22*365}
              = (1.000060274) ^{8030}
              = 1.6225
Monthly  = (1+ \frac{0.022}{12}) ^{22*12}
              = (1.0018333) ^{264}
              = 1.6218
Quarter  = (1+ \frac{0.022}{4}) ^{22*4}
              = (1.0055) ^{88}
              = 1.6204
Yearly  = (1+ \frac{0.022}{1}) ^{22*1}
              = (1.022) ^{22}
              = 1.6141

The answer is yearly.





5 0
3 years ago
Given the diagram below, find the value of x.
Rufina [12.5K]

Answer:

yes 11000

Step-by-step explanation:

6 0
2 years ago
A stray dog ate 25 of your muffins that was 5/6 of all of them with how many did you start?
Maru [420]

Answer:

30 = total muffins

Step-by-step explanation:

To determine how many muffins were eaten, we take the total muffins times the fraction that were eaten

eaten muffins = total muffins * fraction

25 = total muffins* 5/6

Multiply each side by 6/5

6/5*25 = total muffins *5/6*6/5

30 = total muffins

3 0
3 years ago
find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the large
katrin2010 [14]

A generic odd number can be written as

2k+1,\quad k \in \mathbb{Z}

Since there is an odd number every two numbers, three consecutive odd numbers will be

2k+1,\quad 2k+3,\quad 2k+5

Now let's make up the equations: the sum of the first two is

(2k+1)+(2k+3)

And 27 less than 3 times the largest is

3(2k+5)-27

These two must be the same, so we have

(2k+1)+(2k+3)=3(2k+5)-27 \iff 4k+4 = 6k+30-27 \iff 4k+4=6k+3

Subtracting 4k and 3 from both sides gives

1=2k \iff k=\dfrac{1}{2}

Which means that the problem has no solution.

To confirm this hypothesis, we can observe that, on the left hand side, we have the sum of two odd numbers, which is even

On the right hand side, we have an odd number, multiplied by 3 (still odd), take away 27 (still odd).

So, the left hand side is even, and the right hand side is odd. They can't be the same number.

7 0
3 years ago
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